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Finding the Fourth Proportional to 231,937.87, 320,075.49 and 129,963.55

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Solution

The fourth proportional to 231,937.87, 320,075.49 and 129,963.55 is: 179,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,937.87 : 320,075.49 = 129,963.55 : x
  2. Step 2: Convert to fraction form
    231,937.87/320,075.49 = 129,963.55/x
  3. Step 3: Cross multiply
    231,937.87x = 320,075.49 × 129,963.55
  4. Step 4: Simplify right side
    231,937.87x = 41,598,146,948.39
  5. Step 5: Solve for x
    x = 41,598,146,948.39/231,937.87
  6. Step 6: Final answer
    x = 179,350.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.